Pith Number

pith:SMOTP7ZK

pith:2014:SMOTP7ZK4DH7YBJJIMRJCEW4EW

not attested not anchored not stored refs pending

Self-similar graphs, a unified treatment of Katsura and Nekrashevych C*-algebras

Enrique Pardo, Ruy Exel

arxiv:1409.1107 v3 · 2014-09-03 · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMOTP7ZK4DH7YBJJIMRJCEW4EW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:04:37.942108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

931d37ff2ae0cffc052943229112dc259df0312b9085e4fc53a55f6bad1cec11

Aliases

arxiv: 1409.1107 · arxiv_version: 1409.1107v3 · doi: 10.48550/arxiv.1409.1107 · pith_short_12: SMOTP7ZK4DH7 · pith_short_16: SMOTP7ZK4DH7YBJJ · pith_short_8: SMOTP7ZK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SMOTP7ZK4DH7YBJJIMRJCEW4EW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 931d37ff2ae0cffc052943229112dc259df0312b9085e4fc53a55f6bad1cec11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7df5fab9b9eedec781fb94b2b7d970db6e7292c5820eefadd715e4fb6660aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-09-03T14:36:33Z",
    "title_canon_sha256": "3d3a0d87da96ba5ce50c10ab710ae371cff19bd730fa943f07214f46b9ad9470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1107",
    "kind": "arxiv",
    "version": 3
  }
}